Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4607463 | Journal of Approximation Theory | 2012 | 33 Pages |
Abstract
We establish results on convergence and smoothness of subdivision rules operating on manifold-valued data which are based on a general dilation matrix. In particular we cover irregular combinatorics. For the regular grid case results are not restricted to isotropic dilation matrices. The nature of the results is that intrinsic subdivision rules which operate on geometric data inherit smoothness properties of their linear counterparts.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Andreas Weinmann,